Positive Lyapunov exponents for quadratic skew-products over a Misiurewicz–Thurston map

DOI10.1088/0951-7715/22/11/006zbMath1179.37055OpenAlexW2123172409MaRDI QIDQ3645377

Daniel Schnellmann

Publication date: 18 November 2009

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/22/11/006

zbMATH Keywords

Lyapunov exponentskew-productMisiurewicz--Thurston map

Mathematics Subject Classification ID

Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Low-dimensional dynamical systems (37E99) Smooth dynamical systems: general theory (37C99) Dynamical systems with hyperbolic behavior (37D99)

Related Items (6)

Analytic skew-products of quadratic polynomials over Misiurewicz-Thurston maps ⋮ Viana maps driven by Benedicks-Carleson quadratic maps ⋮ Statistical properties of generalized Viana maps ⋮ Absolutely continuous invariant measures for random non-uniformly expanding maps ⋮ Fractional susceptibility functions for the quadratic family: Misiurewicz-Thurston parameters ⋮ Ergodic properties of Viana-like maps with singularities in the base dynamics

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